50e^7t+3=100

Solution for 50e^7t+3=100 equation:

Simplifying
50e7t + 3 = 100

Reorder the terms:
3 + 50e7t = 100

Solving
3 + 50e7t = 100

Solving for variable 'e'.

Move all terms containing e to the left, all other terms to the right.

Add '-3' to each side of the equation.
3 + -3 + 50e7t = 100 + -3

Combine like terms: 3 + -3 = 0
0 + 50e7t = 100 + -3
50e7t = 100 + -3

Combine like terms: 100 + -3 = 97
50e7t = 97

Divide each side by '50t'.
e7 = 1.94t-1

Simplifying
e7 = 1.94t-1

Combine like terms: 1.94t-1 + -1.94t-1 = 0.00
e7 + -1.94t-1 = 0.00

Factor out the Greatest Common Factor (GCF), 't-1'.
t-1(e7t + -1.94) = 0.00

Subproblem 1
Set the factor 't-1' equal to zero and attempt to solve:

Simplifying
t-1 = 0

Solving
t-1 = 0

Move all terms containing e to the left, all other terms to the right.

Add '-1t-1' to each side of the equation.
t-1 + -1t-1 = 0 + -1t-1
Remove the zero:
0 = -1t-1

Simplifying
0 = -1t-1

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Subproblem 2
Set the factor '(e7t + -1.94)' equal to zero and attempt to solve:

Simplifying
e7t + -1.94 = 0

Reorder the terms:
-1.94 + e7t = 0

Solving
-1.94 + e7t = 0

Move all terms containing e to the left, all other terms to the right.

Add '1.94' to each side of the equation.
-1.94 + 1.94 + e7t = 0 + 1.94

Combine like terms: -1.94 + 1.94 = 0.00
0.00 + e7t = 0 + 1.94
e7t = 0 + 1.94

Combine like terms: 0 + 1.94 = 1.94
e7t = 1.94

Divide each side by 't'.
e7 = 1.94t-1

Simplifying
e7 = 1.94t-1

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.